107124480 has 216 divisors, whose sum is σ = 393159312. Its totient is φ = 26836992.

The previous prime is 107124469. The next prime is 107124551. The reversal of 107124480 is 84421701.

It is a super-2 number, since 2×107124480² = 22951308430540800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195567 + ... + 196113.

It is an arithmetic number, because the mean of its divisors is an integer number (1820182).

Almost surely, 2^107124480 is an apocalyptic number.

107124480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107124480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196579656).

107124480 is an abundant number, since it is smaller than the sum of its proper divisors (286034832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107124480 is a wasteful number, since it uses less digits than its factorization.

107124480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 107124480 is about 10350.0956517319. The cubic root of 107124480 is about 474.9299693617.

The spelling of 107124480 in words is "one hundred seven million, one hundred twenty-four thousand, four hundred eighty".